Overview

One of the major challenges of modern space mission design is the orbital mechanics -- determining how to get a spacecraft to its destination using a limited amount of propellant. Recent missions such as Voyager and Galileo required gravity assist maneuvers at several planets to accomplish their objectives. Today's students of aerospace engineering face the challenge of calculating these types of complex spacecraft trajectories. This classroom-tested textbook takes its title from an elective course which has been taught to senior undergraduates and first-year graduate students for the past 22 years. The subject of orbital mechanics is developed starting from the first principles, using Newton's laws of motion and the law of gravitation to prove Kepler's empirical laws of planetary motion. Unlike many texts the authors also use first principles to derive other important results including Kepler's equation, Lambert's time-of-flight equation, the rocket equation, the Hill-Clohessy-Wiltshire equations of relative motion, Gauss' equations for the variation of the elements, and the Gauss and Laplace methods of orbit determination. The subject of orbit transfer receives special attention. Optimal orbit transfers such as the Hohmann transfer, minimum-fuel transfers using more than two impulses, and non-coplanar orbital transfer are discussed. Patched-conic interplanetary trajectories including gravity-assist maneuvers are the subject of an entire chapter and are particularly relevant to modern space missions.

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9780195078343

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Reviews

""[Prussing and Conway] have written up their final-year university course. Here, celestial mechanics is expanded into space aeronautics. The book is a paragon of clarity and has problems and worked examples."" --David Hughes (Univ of Sheffield), New Scientist ""Good references and problem sets..."" --Choice

'The book is a paragon of clarity and has problems and worked examples.' New Scientist 'The book is a paragon of clarity and has problems and worked examples.' David Hughes, New Scientist Figures and tables are large and readable. There are three very simple one-page appendixes and a short, four-page index. Good references and problem sets ... are found at the end of each chapter. Choice June 1994

Author Information

John A. Prussing and Bruce A. Conway are Professors of Aeronautical and Astronautical Engineering at the University of Illinois at Urbana-Champaign.

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